PSLEMrs Albert bought a blazer and a necklace at a discount. She spent a total of $67.90 on these two items. She spent $21.70 more on the necklace than on the blazer.
- How much did she spend on the necklace?
- The total discount given for the two items was $21.10. She was given a 30% discount for the blazer. What was the percentage discount given for the necklace?
(a)
Amount spent on the blazer = 1 u
Amount spent on the necklace = 1 u + 21.70
Total amount spent on the blazer and the necklace
= 1 u + 1 u + 21.70
= 2 u + 21.70
2 u + 21.70 = 67.90
2 u = 67.90 - 21.70
2 u = 46.20
1 u = 46.20 ÷ 2 = 23.10
Amount that Mrs Albert spent on the necklace
= 23.10 + 21.70
= $44.80
(b)
|
Blazer |
Necklace |
Total |
Original price |
100% |
$56 |
|
Discount |
30% $9.90 |
$11.20 |
$21.10 |
Discounted price |
70% $23.10 |
$44.80 |
$67.90 |
Discounted price of the blazer
= 100% - 30%
= 70%
70% of the price of the blazer = 23.10
1% of the price of the blazer = 23.10 ÷ 70
30% of the price of the blazer = 23.10 ÷ 70 x 30 = 9.90
Discount given for the necklace
= 21.10 - 9.90
= $11.20
Original price of the necklace
= 44.80 + 11.20
= $56
Percentage discount of the necklace
=
11.2056 x 100%
= 20%
Answer(s): (a) $44.80; (b) 20%